We study the existence of vortices of the Klein-Gordon-Maxwell equations in the two dimensional case. In particular we find sufficient conditions for the existence of vortices in the magneto-static case, i.e. when the electric potential phi = 0. This result, due to the lack of suitable embedding theorems for the vector potential A is achieved with the help of a penalization method.
Magnetostatic vortices in two-dimensional abelian gauge theories
BELLAZZINI J.;BONANNO, CLAUDIO;
2009-01-01
Abstract
We study the existence of vortices of the Klein-Gordon-Maxwell equations in the two dimensional case. In particular we find sufficient conditions for the existence of vortices in the magneto-static case, i.e. when the electric potential phi = 0. This result, due to the lack of suitable embedding theorems for the vector potential A is achieved with the help of a penalization method.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
